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Finding the Third Proportional to 238,545 and 322,825.50

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Solution

The third proportional to 238,545 and 322,825.50 is: 436,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,545 : 322,825.50 = 322,825.50 : x
  2. Step 2: Convert to fraction form
    238,545/322,825.50 = 322,825.50/x
  3. Step 3: Cross multiply
    238,545x = 322,825.50 × 322,825.50
  4. Step 4: Simplify right side
    238,545x = 104,216,303,450.25
  5. Step 5: Solve for x
    x = 104,216,303,450.25/238,545
  6. Step 6: Final answer
    x = 436,883.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.